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Finding the Fourth Proportional to 6,109.73, 9,176.87 and 5,937.47

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Solution

The fourth proportional to 6,109.73, 9,176.87 and 5,937.47 is: 8,918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.73 : 9,176.87 = 5,937.47 : x
  2. Step 2: Convert to fraction form
    6,109.73/9,176.87 = 5,937.47/x
  3. Step 3: Cross multiply
    6,109.73x = 9,176.87 × 5,937.47
  4. Step 4: Simplify right side
    6,109.73x = 54,487,390.32
  5. Step 5: Solve for x
    x = 54,487,390.32/6,109.73
  6. Step 6: Final answer
    x = 8,918.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.